(D3 +5D2 +6D) у%3D24e -3х.

Q: Find the general solution of the differential equation by using (Variation of Parameters Method)…

A:

Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: y" = 12x² %3D

A:

Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: The roots of an auxiliary cubic equation are m1=-1 and m2=m3=-5. What is the corresponding…

A: We have given the roots of an auxiliary cubic equation ,  m1 = -1  , m2 = m3 = -5 Thus , Auxiliary…

Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

Q: Find the differential equation having each equation as general solution. m y ==-7

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Q: Transform the given differential equation into an ferential equations. equivalent system of…

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Q: 1. (4D7 – 28D6 – 23D5 – 64D4 – 58D³ – 44D² – 31D – 8) y=0

A:

Q: What is the general solution of the differential equation 2xyy' y? - 2x³ ?

A: We have to find the general solution of the given differential equation 2xyy'=y2-2x3 .

Q: (2x + 3)y' = y + (2x + 3)2 ; when x = -1 & y = 0

A:

Q: – u"(x) + 2u'(x) – u (x) = - + -x + 5x – 4 %3D

A: Given differential equations are -u''(x)+2u'(x)-u(x)=-1x2+1x-x2+5x-4      Auxiliary equation is…

Q: Solve the given system of differential equations by systematic elimination (Please show all steps…

A: Given dxdt=8x+13y --1dydt=x-4y --2(D-8)x=13y--3    Where D=ddt(D+4)y=x ---4Multiply equation 4 by…

Q: Solve the differential equations using variation of parameters 1. (D²+1)y= sec³x

A: Given differential equation:D2+1y=sec3x Concept used: Variation of parameters.

Q: Solve the system of differential equations x' = 459x + 660y 322x – 463y - - x(0) = 109, y(0) = – 76…

A: We are given simultaneous differential equations.

Q: Solve the differential equation by using the linear equation method 2r dt +4

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

A:

Q: Find the solution of the partial differential equation- = 3 dt? by variable separable method

A: given partial differential equation  ∂2z∂x2=3∂2z∂t2 to find -solution of the partial differential…

Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = 8 1

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Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

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Q: What is the solution of the differential equation of (2x° + ry? + 2y +3) dr + (x²y + 2x) dy = 0 ?

A: We have given differential equation,   Differential equation is of the form,     Mdx +Ndy=0 Firstly…

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

A:

Q: Solve the given system of differential equation:

A: Given that, x'=2x-y  --- (1)y'=y-3x  ---(2) From equation (1) we get, x'=2x-y⇒x'-2x=-y⇒y=2x-x' ---…

Q: Find general solutions of the differential equation

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Q: Solve the Differential Equation by Variable -2y separable method : 11x³ dy 10y3

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Q: Find a homogeneous Euler-Cauchy differential equation whose general solution is Cx1+ C2x? where C,…

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Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: y'= 2.xy /(x² – y² )

A:

Q: Solve the total solution of the differential equation (D² – 3D + 2)y = 2x³ – 9x² + 6x.

A: The given differential equation is D2-3D+2y=2x3-9x2+6x. That is, y''-3y'+2y=2x3-9x2+6x. The…

Q: Solve the System of nonhomogeneou linear differential equations. + 3y, = z e. 3 t

A: Given the system of equations y1'+3y2=2e-t-32t---1y2'+y1=2e-t+32t---2   Differentiate (1) with…

Q: -3z y" + 6y' + 9y = for a> 0.

A:

Q: ry? V1+ x²

A:

Q: X' -1 et x + 3 -2

A:

Q: Find the solution of differential equation (Dª - 6D³ + 3D² - 12D + 4) y = 0

A: Solution is here

Q: Solve the High order differential equation by using Inverse Operator (D-) Method y'' – 26y" + 125y'…

A:

Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

Q: Solve the system of differential equations x' = 31x + 56y ly' = – 16x – 29y - - x(0) = 7, y(0) = - 4…

A: In a system of differential equation X'=AX, if eigen values of A are a, b and corresponding eigen…

Q: Answer in complete solution in this Differential Equations: (D6 – 13D4 + 4D3 + 48D2 16D - 48)y = 0

A: Solved below

Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) Yı' =…

A:

Q: Answer in complete solution in this Differential Equations: (16D7 – 32D6 – 40D5 + 72D4 + 37D3 –…

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Q: Solve the system of differential equations x' = 18x + 3y y' = – 70x – 11y - - x(0) = 11, y(0) = – 52…

A: The given system of differential equations are…

Q: Determine the solution of the system of differential equations where a, b belong to R- [0]

A: Using the method of variation of parameters for finding the particular solution.

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

A:

Q: Find the general solution of the system of differential equations

A: In this question, we solve the system of differential equations by using the given characteristic…

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.